Results 11 to 20 of about 106 (83)
Brain Connectivity Studies on Structure-Function Relationships: A Short Survey with an Emphasis on Machine Learning. [PDF]
Comput Intell Neurosci, 2021 This short survey reviews the recent literature on the relationship between the brain structure and its functional dynamics. Imaging techniques such as diffusion tensor imaging (DTI) make it possible to reconstruct axonal fiber tracks and describe the structural connectivity (SC) between brain regions.
Wein S +6 more
europepmc +2 more sources
1‐independent percolation on ℤ2×Kn
Random Structures &Algorithms, Volume 62, Issue 4, Page 887-910, July 2023., 2023 Abstract A random graph model on a host graph H$$ H $$ is said to be 1‐independent if for every pair of vertex‐disjoint subsets A,B$$ A,B $$ of E(H)$$ E(H) $$, the state of edges (absent or present) in A$$ A $$ is independent of the state of edges in B$$ B $$.
Victor Falgas‐Ravry +1 more
wiley +1 more source
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 102, Issue 9, September 2022., 2022 Abstract This paper is concerned with Kolmogorov's two‐equation model for turbulence in R3$\mathbb {R}^3$ involving the mean velocity u, the pressure p, an average frequency ω>0$\omega >0$, and a mean turbulent kinetic energy k. We consider the system with space‐periodic boundary conditions in a cube Ω=(]0,a[)3$\Omega =({]0,a[}){}^3$, which is a good ...
Alexander Mielke, Joachim Naumann
wiley +1 more source
Engineering Reports, Volume 2, Issue 2, February 2020., 2020 We have considered a prominent Nonlinear partial differential equation which governs the spatial spread and propagation of mutant genes. A new integral transform called the Elzaki transform was coupled with Homotopy perturbation to solve for the exact solution of this model.
Adedapo C. Loyinmi, Timilehin K. Akinfe
wiley +1 more source
A Century of Nonlinearity in the Geosciences
Earth and Space Science, Volume 6, Issue 7, Page 1007-1042, July 2019., 2019 Abstract This paper provides a thumbnail sketch of the evolution of nonlinear ideas in the mathematics and physics of the geosciences, broadly construed, over the last hundred or so years. It emphasizes the mathematical concepts and methods and outlines simple examples of how they were, are, and maybe will be applied to the solid Earth—that is, the ...
Michael Ghil
wiley +1 more source
Ergodicity of Stochastic Burgers’ System with Dissipative Term
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 A 2‐dimensional stochastic Burgers equation with dissipative term perturbed by Wiener noise is considered. The aim is to prove the well‐posedness, existence, and uniqueness of invariant measure as well as strong law of large numbers and convergence to equilibrium.
Guoli Zhou +4 more
wiley +1 more source
Some Results on Bellman Equations of Optimal Production Control in a Stochastic Manufacturing System
Journal of Probability and Statistics, Volume 2009, Issue 1, 2009., 2009 The paper studies the production inventory problem of minimizing the expected discounted present value of production cost control in a manufacturing system with degenerate stochastic demand. We establish the existence of a unique solution of the Hamilton‐Jacobi‐Bellman (HJB) equations associated with this problem.
Azizul Baten +2 more
wiley +1 more source
A Stochastic Cobweb Dynamical Model
Discrete Dynamics in Nature and Society, Volume 2008, Issue 1, 2008., 2008 We consider the dynamics of a stochastic cobweb model with linear demand and a backward‐bending supply curve. In our model, forward‐looking expectations and backward‐looking ones are assumed, in fact we assume that the representative agent chooses the backward predictor with probability q_, __0_q_1, and the forward predictor with probability (1 − q ...
Serena Brianzoni +4 more
wiley +1 more source
Remarks, questions and conjectures on Landau-Kolmogorov-type inequalities [PDF]
Mathematical Inequalities & Applications, 2000 For the Landau-Kolmogorov inequality \[ \|f^{(k)}\|_B\leq K(n,k,B) \|f^{(n)}\|_B^{k/n}\|f\|_B^{1-k/n}\tag{1} \] with \(f,f^{(n)}\in B\) it is shown that \(K(n,k,L^p(\mathbb{R}\text{ mod }2\pi))= K(n,k,L^p(\mathbb{R}))\), \(1\leq p\leq\infty\). For functions on \(\mathbb{R}^d\), an analog of the form \[ \|(\partial/\partial \xi)^kf\|_B\leq C(n,k,B ...
openaire +2 more sources
Open and Closed Loop Approaches for Energy Efficient Quantum Optimal Control
Advanced Quantum Technologies, Volume 8, Issue 10, October 2025.Concepts from quantum thermodynamics and optimal control are blended to derive a theoretical framework to quantify and minimize the energetic cost of a pulse for unitary synthesis. Two complementary techniques (based on GRAPE and Reinforce‐DRL) are implemented as open‐source software that co‐optimizes the fidelity and energetic cost within quantum ...
Sebastiaan Fauquenot +2 more
wiley +1 more source